John painted his most famous work,in his country,in 1930 on composition board with perimeter 103.48 in. If the rectangular painting is 5.83 in. Taller it is wide,find the dimens…

Question

asked Oct 22, 2021 104k views

1 Answer

Nimar · Answer 1 · 2021-10-26T01:40:46+0000

Answer:

Width
=22.955 in

length
=28.785 in

Explanation:

let width

painting is
5.83 in taller than it is wide

length
=x+5.83

Perimeter of rectangle
(length+width)

Perimeter of painting
=103.48

$2(x+x+5.83)=103.48\\2x+5.83=51.74\\2x+51.74-5.83\\2x=45.91\\x=(45)/(2) \\x=22.955$

width
=x=22.955 in

length
=x+5.83=22.955+5.83=28.785 n